The Algebraic Theory of Modular Systems (Classic Reprint) - Hardcover

Francis Sowerby Macaulay

9780365124757: The Algebraic Theory of Modular Systems (Classic Reprint)

Hardcover

ISBN 10: 0365124753 ISBN 13: 9780365124757

Publisher: Forgotten Books, 2018

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Explore the algebraic foundations behind modular systems and their applications.

This concise, theory‑driven work guides you through ideals, modules, and the relationships that bind them, from basic definitions to the structure of complex systems.

This edition presents a clear account of how rank, unmixed versus mixed modules, and prime factors interact within modular systems. It also contrasts Kronecker’s and Dedekind’s approaches, and shows how results can be used to understand linear equations and their solutions in an algebraic setting.

Understand what it means for a module or ideal to have a certain rank and when it is unmixed.
Learn how prime factors and divisibility operate in the context of modular systems and algebraic forms.
See how the theory connects to solving homogeneous linear equations and to the concept of resultants.
Compare classical viewpoints from Kronecker and Dedekind to modern interpretations.

Ideal for readers who want a rigorous, historically grounded look at the algebra of modular systems and the tools used to factor and solve within that framework.

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